Finding the Third Proportional to 91,648 and 196,928

Step by Step Solution

1. Step 1: Write the proportion equation
   91,648 : 196,928 = 196,928 : x
2. Step 2: Convert to fraction form
   91,648/196,928 = 196,928/x
3. Step 3: Cross multiply
   91,648x = 196,928 × 196,928
4. Step 4: Simplify right side
   91,648x = 38,780,637,184
5. Step 5: Solve for x
   x = 38,780,637,184/91,648
6. Step 6: Final answer
   x = 423,147.66